{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Optimization\n",
    "\n",
    "[Bayesian optimization](https://en.wikipedia.org/wiki/Bayesian_optimization) is a powerful strategy for minimizing (or maximizing) objective functions that are costly to evaluate.  It is an important component of [automated machine learning](https://en.wikipedia.org/wiki/Automated_machine_learning) toolboxes such as [auto-sklearn](https://automl.github.io/auto-sklearn/stable/), [auto-weka](http://www.cs.ubc.ca/labs/beta/Projects/autoweka/), and [scikit-optimize](https://scikit-optimize.github.io/), where Bayesian optimization is used to select model hyperparameters. Bayesian optimization is used for a wide range of other applications as well; as cataloged in the review [2], these include interactive user-interfaces, robotics, environmental monitoring, information extraction, combinatorial optimization, sensor networks, adaptive Monte Carlo, experimental design, and reinforcement learning.\n",
    "\n",
    "## Problem Setup\n",
    "\n",
    "We are given a minimization problem\n",
    "\n",
    "$$ x^* = \\text{arg}\\min \\ f(x), $$\n",
    "\n",
    "where $f$ is a fixed objective function that we can evaluate pointwise. \n",
    "Here we assume that we do _not_  have access to the gradient of $f$. We also\n",
    "allow for the possibility that evaluations of $f$ are noisy.\n",
    "\n",
    "To solve the minimization problem, we will construct a sequence of points $\\{x_n\\}$ that converge to $x^*$. Since we implicitly assume that we have a fixed budget (say 100 evaluations), we do not expect to find the exact minumum $x^*$: the goal is to get the best approximate solution we can given the allocated budget.\n",
    "\n",
    "The Bayesian optimization strategy works as follows:\n",
    "\n",
    "1. Place a prior on the objective function $f$. Each time we evaluate $f$ at a new point $x_n$, we update our model for $f(x)$. This model serves as a surrogate objective function and reflects our beliefs about $f$ (in particular it reflects our beliefs about where we expect $f(x)$ to be close to $f(x^*)$). Since we are being Bayesian, our beliefs are encoded in a posterior that allows us to systematically reason about the uncertainty of our model predictions.\n",
    "\n",
    "2. Use the posterior to derive an \"acquisition\" function $\\alpha(x)$ that is easy to evaluate and differentiate (so that optimizing $\\alpha(x)$ is easy). In contrast to $f(x)$, we will generally evaluate $\\alpha(x)$ at many points $x$, since doing so will be cheap.\n",
    "\n",
    "3. Repeat until convergence:\n",
    "\n",
    "    + Use the acquisition function to derive the next query point according to\n",
    "    $$ x_{n+1} = \\text{arg}\\min \\ \\alpha(x). $$\n",
    "\n",
    "    + Evaluate $f(x_{n+1})$ and update the posterior.\n",
    "\n",
    "A good acquisition function should make use of the uncertainty encoded in the posterior to encourage a balance between exploration&mdash;querying points where we know little about $f$&mdash;and exploitation&mdash;querying points in regions we have good reason to think $x^*$ may lie. As the iterative procedure progresses our model for $f$ evolves and so does the acquisition function. If our model is good and we've chosen a reasonable acquisition function, we expect that the acquisition function will guide the query points $x_n$ towards $x^*$.\n",
    "\n",
    "In this tutorial, our model for $f$ will be a Gaussian process. In particular we will see how to use the [Gaussian Process module](http://docs.pyro.ai/en/0.3.1/contrib.gp.html) in Pyro to implement a simple Bayesian optimization procedure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.gridspec as gridspec\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "import torch.autograd as autograd\n",
    "import torch.optim as optim\n",
    "from torch.distributions import constraints, transform_to\n",
    "\n",
    "import pyro\n",
    "import pyro.contrib.gp as gp\n",
    "\n",
    "assert pyro.__version__.startswith('1.9.1')\n",
    "pyro.set_rng_seed(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define an objective function\n",
    "\n",
    "For the purposes of demonstration, the objective function we are going to consider is the [Forrester et al. (2008) function](https://www.sfu.ca/~ssurjano/forretal08.html):\n",
    "\n",
    "$$f(x) = (6x-2)^2 \\sin(12x-4), \\quad x\\in [0, 1].$$\n",
    "\n",
    "This function has both a local minimum and a global minimum. The global minimum is at $x^* = 0.75725$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x):\n",
    "    return (6 * x - 2)**2 * torch.sin(12 * x - 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's begin by plotting $f$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = torch.linspace(0, 1, 100)\n",
    "plt.figure(figsize=(8, 4))\n",
    "plt.plot(x.numpy(), f(x).numpy())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting a Gaussian Process prior"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Gaussian processes](https://en.wikipedia.org/wiki/Gaussian_process) are a popular choice for a function priors due to their power and flexibility. The core of a Gaussian Process is its covariance function $k$, which governs the similarity of $f(x)$ for pairs of input points. Here we will use a Gaussian Process as our prior for the objective function $f$. Given inputs $X$ and the corresponding noisy observations $y$, the model takes the form\n",
    "\n",
    "$$f\\sim\\mathrm{MultivariateNormal}(0,k(X,X)),$$\n",
    "\n",
    "$$y\\sim f+\\epsilon,$$\n",
    "\n",
    "where $\\epsilon$ is i.i.d. Gaussian noise and $k(X,X)$ is a covariance matrix whose entries are given by $k(x,x^\\prime)$ for each pair of inputs $(x,x^\\prime)$.\n",
    "\n",
    "We choose the [Matern](https://en.wikipedia.org/wiki/Mat%C3%A9rn_covariance_function) kernel with $\\nu = \\frac{5}{2}$ (as suggested in reference [1]). Note that the popular [RBF](https://en.wikipedia.org/wiki/Radial_basis_function_kernel) kernel, which is used in many regression tasks, results in a function prior whose samples are infinitely differentiable; this is probably an unrealistic assumption for most 'black-box' objective functions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# initialize the model with four input points: 0.0, 0.33, 0.66, 1.0\n",
    "X = torch.tensor([0.0, 0.33, 0.66, 1.0])\n",
    "y = f(X)\n",
    "gpmodel = gp.models.GPRegression(X, y, gp.kernels.Matern52(input_dim=1),\n",
    "                                 noise=torch.tensor(0.1), jitter=1.0e-4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following helper function `update_posterior` will take care of updating our `gpmodel` each time we evaluate $f$ at a new value $x$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def update_posterior(x_new):\n",
    "    y = f(x_new) # evaluate f at new point.\n",
    "    X = torch.cat([gpmodel.X, x_new]) # incorporate new evaluation \n",
    "    y = torch.cat([gpmodel.y, y])     \n",
    "    gpmodel.set_data(X, y)\n",
    "    # optimize the GP hyperparameters using Adam with lr=0.001\n",
    "    optimizer = torch.optim.Adam(gpmodel.parameters(), lr=0.001)\n",
    "    gp.util.train(gpmodel, optimizer)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define an acquisition function"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are many reasonable options for the acquisition function (see references [1] and [2] for a list of popular choices and a discussion of their properties). Here we will use one that is 'simple to implement and interpret,' namely the 'Lower Confidence Bound' acquisition function. \n",
    "It is given by\n",
    "\n",
    "$$\n",
    "\\alpha(x) = \\mu(x) - \\kappa \\sigma(x)\n",
    "$$\n",
    "\n",
    "where $\\mu(x)$ and $\\sigma(x)$ are the mean and square root variance of the posterior at the point $x$, and the arbitrary constant $\\kappa>0$ controls the trade-off between exploitation and exploration. This acquisition function will be minimized for choices of $x$ where either: i) $\\mu(x)$ is small (exploitation); or ii) where $\\sigma(x)$ is large (exploration).  A large value of $\\kappa$ means that we place more weight on exploration because we prefer candidates $x$ in areas of high uncertainty. A small value of $\\kappa$ encourages exploitation because we prefer candidates $x$ that minimize $\\mu(x)$, which is the mean of our surrogate objective function. We will use $\\kappa=2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def lower_confidence_bound(x, kappa=2):\n",
    "    mu, variance = gpmodel(x, full_cov=False, noiseless=False)\n",
    "    sigma = variance.sqrt()\n",
    "    return mu - kappa * sigma"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The final component we need is a way to find (approximate) minimizing points $x_{\\rm min}$ of the acquisition function. There are several ways to proceed, including gradient-based and non-gradient-based techniques. Here we will follow the gradient-based approach. One of the possible drawbacks of gradient descent methods is that the minimization algorithm can get stuck at a local minimum. In this tutorial, we adopt a (very) simple approach to address this issue:\n",
    "\n",
    "- First, we seed our minimization algorithm with 5 different values: i) one is chosen to be $x_{n-1}$, i.e. the candidate $x$ used in the previous step; and ii) four are chosen uniformly at random from the domain of the objective function. \n",
    "- We then run the minimization algorithm to approximate convergence for each seed value. \n",
    "- Finally, from the five candidate $x$s identified by the minimization algorithm, we select the one that minimizes the acquisition function.\n",
    "\n",
    "Please refer to reference [2] for a more detailed discussion of this problem in Bayesian Optimization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_a_candidate(x_init, lower_bound=0, upper_bound=1):\n",
    "    # transform x to an unconstrained domain\n",
    "    constraint = constraints.interval(lower_bound, upper_bound)\n",
    "    unconstrained_x_init = transform_to(constraint).inv(x_init)\n",
    "    unconstrained_x = unconstrained_x_init.clone().detach().requires_grad_(True)\n",
    "    minimizer = optim.LBFGS([unconstrained_x], line_search_fn='strong_wolfe')\n",
    "\n",
    "    def closure():\n",
    "        minimizer.zero_grad()\n",
    "        x = transform_to(constraint)(unconstrained_x)\n",
    "        y = lower_confidence_bound(x)\n",
    "        autograd.backward(unconstrained_x, autograd.grad(y, unconstrained_x))\n",
    "        return y\n",
    "    \n",
    "    minimizer.step(closure)\n",
    "    # after finding a candidate in the unconstrained domain, \n",
    "    # convert it back to original domain.\n",
    "    x = transform_to(constraint)(unconstrained_x)\n",
    "    return x.detach()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The inner loop of Bayesian Optimization\n",
    "\n",
    "With the various helper functions defined above, we can now encapsulate the main logic of a single step of Bayesian Optimization in the function `next_x`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def next_x(lower_bound=0, upper_bound=1, num_candidates=5):\n",
    "    candidates = []\n",
    "    values = []\n",
    "\n",
    "    x_init = gpmodel.X[-1:]\n",
    "    for i in range(num_candidates):\n",
    "        x = find_a_candidate(x_init, lower_bound, upper_bound)\n",
    "        y = lower_confidence_bound(x)\n",
    "        candidates.append(x)\n",
    "        values.append(y)\n",
    "        x_init = x.new_empty(1).uniform_(lower_bound, upper_bound)\n",
    "\n",
    "    argmin = torch.min(torch.cat(values), dim=0)[1].item()\n",
    "    return candidates[argmin]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Running the algorithm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To illustrate how Bayesian Optimization works, we make a convenient plotting function that will help us visualize our algorithm's progress."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot(gs, xmin, xlabel=None, with_title=True):\n",
    "    xlabel = \"xmin\" if xlabel is None else \"x{}\".format(xlabel)\n",
    "    Xnew = torch.linspace(-0.1, 1.1, 100)\n",
    "    ax1 = plt.subplot(gs[0])\n",
    "    ax1.plot(gpmodel.X.numpy(), gpmodel.y.numpy(), \"kx\")  # plot all observed data\n",
    "    with torch.no_grad():\n",
    "        loc, var = gpmodel(Xnew, full_cov=False, noiseless=False)\n",
    "        sd = var.sqrt()\n",
    "        ax1.plot(Xnew.numpy(), loc.numpy(), \"r\", lw=2)  # plot predictive mean\n",
    "        ax1.fill_between(Xnew.numpy(), loc.numpy() - 2*sd.numpy(), loc.numpy() + 2*sd.numpy(),\n",
    "                         color=\"C0\", alpha=0.3)  # plot uncertainty intervals\n",
    "    ax1.set_xlim(-0.1, 1.1)\n",
    "    ax1.set_title(\"Find {}\".format(xlabel))\n",
    "    if with_title:\n",
    "        ax1.set_ylabel(\"Gaussian Process Regression\")\n",
    "\n",
    "    ax2 = plt.subplot(gs[1])\n",
    "    with torch.no_grad():\n",
    "        # plot the acquisition function\n",
    "        ax2.plot(Xnew.numpy(), lower_confidence_bound(Xnew).numpy())\n",
    "        # plot the new candidate point\n",
    "        ax2.plot(xmin.numpy(), lower_confidence_bound(xmin).numpy(), \"^\", markersize=10,\n",
    "                 label=\"{} = {:.5f}\".format(xlabel, xmin.item()))  \n",
    "    ax2.set_xlim(-0.1, 1.1)\n",
    "    if with_title:\n",
    "        ax2.set_ylabel(\"Acquisition Function\")\n",
    "    ax2.legend(loc=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our surrogate model `gpmodel` already has 4 function evaluations at its disposal; however, we have yet to optimize the GP hyperparameters. So we do that first. Then in a loop we call the `next_x` and `update_posterior` functions repeatedly. The following plot illustrates how Gaussian Process posteriors and the corresponding acquisition functions change at each step in the algorith. Note how query points are chosen both for exploration and exploitation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x2160 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 30))\n",
    "outer_gs = gridspec.GridSpec(5, 2)\n",
    "optimizer = torch.optim.Adam(gpmodel.parameters(), lr=0.001)\n",
    "gp.util.train(gpmodel, optimizer)\n",
    "for i in range(8):\n",
    "    xmin = next_x() \n",
    "    gs = gridspec.GridSpecFromSubplotSpec(2, 1, subplot_spec=outer_gs[i])\n",
    "    plot(gs, xmin, xlabel=i+1, with_title=(i % 2 == 0))\n",
    "    update_posterior(xmin)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because we have assumed that our observations contain noise, it is improbable that we will find the exact minimizer of the function $f$. Still, with a relatively small budget of evaluations (8) we see that the algorithm has converged to very close to the global minimum at $x^* = 0.75725$. \n",
    "\n",
    "While this tutorial is only intended to be a brief introduction to Bayesian Optimization, we hope that we have been able to convey the basic underlying ideas. Consider watching the lecture by Nando de Freitas [3] for an excellent exposition of the basic theory. Finally, the reference paper [2] gives a review of recent research on Bayesian Optimization, together with many discussions about important technical details."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "[1] `Practical bayesian optimization of machine learning algorithms`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "Jasper Snoek, Hugo Larochelle, and Ryan P. Adams\n",
    "\n",
    "[2] `Taking the human out of the loop: A review of bayesian optimization`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "Bobak Shahriari, Kevin Swersky, Ziyu Wang, Ryan P. Adams, and Nando De Freitas\n",
    "\n",
    "[3] [Machine learning - Bayesian optimization and multi-armed bandits](https://www.youtube.com/watch?v=vz3D36VXefI)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
